As in the case of the cone, volume of the pyramid can be determined in various ways. The version here once again dabbles with a multi-variable scenario to give students some variation on a familiar theme.
Click on the link to interact with the notion of infinitesimals as applied to pyramid volume.
Refer to volume of cone for helpful comparison.
Thanks for reading.
Displayed below are two familiar methods of determining volumes of solids, this time as applied to the sphere. It is beneficial to compare two (or more) methods of determining volumes of a given solid; this allows students to develop a deeper understanding of each process that might not otherwise occur if kept in isolation from one another. It is also beneficial to compare directly each method as applied to different shapes. I’m including a link to volume of cones here for that purpose.
See also volume of cones.
Thanks for reading.
I’m snooping around multi-variable calculus with this entry. Presentation of this in class will depend on circumstances (time and where students are). I will nevertheless post a link to this on Google classroom and let students explore if they so desire.
Explore the volume of a cone from a different perspective.
Check out volume of pyramid as well.
Thanks for looking.
samuelson mathxp 